Selection Combining Over the Extended η-μ Fading Channels
Osamah S. Badarneh, Mustafa Alshawaqfeh, Fares S. Almehmadi, Hugerles S. Silva
Abstract
In this letter, we derive exact expressions for the probability density function, the cumulative distribution function, and the <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${n}$ </tex-math></inline-formula> -th moment of the maximum of <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${L}$ </tex-math></inline-formula> independent and not necessarily identically distributed (i.n.i.d.) extended <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\eta $ </tex-math></inline-formula> - <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mu $ </tex-math></inline-formula> variates. The derived statistics are obtained in closed-form in terms of multivariate I-function. Capitalizing on these results, the performance of <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${L}$ </tex-math></inline-formula> selection combining diversity receiver is studied by means of outage probability (OP), average symbol error rate (SER), and ergodic capacity. Besides, simple closed-form asymptotic expressions, in terms of elementary functions, for the OP and average SER are obtained. Monte-Carlo simulation results are provided to verify the new analytical results.